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On the Constitutive Relations for Second Sound in Thermo-Electroelasticity

2009/12/07 by A. Montanaro, Montanaro, A.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0912.1252

20 pages. arXiv admin note: substantial text overlap with arXiv:0910.1344

arxiv created 2009/12/07 · arxiv updated 2015/04/21

Abstract

Extending previous papers of Coleman-Fabrizio-Owen [1], [2] and Oncu-Moodie [3], we give a derivation of the thermodynamic restrictions on the constitutive relations of an electrically polarizable and finitely deformable heat conducting elastic continuum, interacting with the electric field. The constitutive equations include an evolution equation for the heat flux; the latter and the temperature obey a frame-invariant form of Cattaneo's equation.

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